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Finding the Third Proportional to 70,141.50 and 155,043

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Solution

The third proportional to 70,141.50 and 155,043 is: 342,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,141.50 : 155,043 = 155,043 : x
  2. Step 2: Convert to fraction form
    70,141.50/155,043 = 155,043/x
  3. Step 3: Cross multiply
    70,141.50x = 155,043 × 155,043
  4. Step 4: Simplify right side
    70,141.50x = 24,038,331,849
  5. Step 5: Solve for x
    x = 24,038,331,849/70,141.50
  6. Step 6: Final answer
    x = 342,711.97

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.